Is it appropriate to use a normal distribution to compute a confidence interval for the population mean weights? Question 1 options: No. Even though the weights of Allen's hummingbirds have a normal distribution, we cannot be certain the sample mean will also follow a normal distribution. Yes. The weights of Allen's hummingbirds have a normal distribution. By Central Limit Theorem, the sample mean also follows a normal distribution. Question 2 (2 points)